Simplifying Algebraic Expressions: 12xy+8xz+6yz+4x
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore the simplification of the algebraic expression 12xy+8xz+6yz+4x.
The Given Expression
The given expression is:
12xy + 8xz + 6yz + 4x
Simplification Steps
To simplify this expression, we need to follow the correct order of operations (PEMDAS) and combine like terms.
Step 1: Combine Like Terms
The terms 12xy and 8xz have the common variable x. We can combine them:
12xy + 8xz = 4x(3y + 2z)
Similarly, the terms 6yz and 4x have the common variable x. We can combine them:
6yz + 4x = 2x(3yz + 2)
Step 2: Simplify the Expression
Now, we can simplify the expression by combining the two results:
12xy + 8xz + 6yz + 4x = 4x(3y + 2z) + 2x(3yz + 2)
Simplified Expression
The simplified expression is:
4x(3y + 2z) + 2x(3yz + 2)
This expression is now in its simplest form. We have successfully combined like terms and simplified the original expression.
Conclusion
Simplifying algebraic expressions is a crucial skill in mathematics. By following the correct order of operations and combining like terms, we can simplify complex expressions and make them easier to work with. In this article, we have explored the simplification of the expression 12xy+8xz+6yz+4x, and the resulting simplified expression is 4x(3y + 2z) + 2x(3yz + 2).
